Question

The distance from the earth to the sun is about 1.50×1011 m . Find the total power radiated by the sun.

Answer 1

Power,
`P=3.93* 10^(26)\ W`

Step-by-step explanation:

Given that,

The distance from the earth to the sun is about,
`d=1.5* 10^(11)\ m`

let us assume that the average intensity of solar radiation at the upper atmosphere of earth,.
`I=1390\ W/m^2`

We need to find the total power radiated by the sun. The intensity is defined as the total power divided by the area of a sphere of radius equal to the average distance between the earth and the sun. It is given by :

`I=(P)/(4\pi r^2)`

P is total power

`P=4\pi r^2* I`

`P=3.93* 10^(26)\ W`

So, the total power radiated by the sun is
`P=3.93* 10^(26)\ W`. Hence, this is the required solution.